27992140 has 72 divisors (see below), whose sum is σ = 66361680. Its totient is φ = 9905280.

The previous prime is 27992117. The next prime is 27992147. The reversal of 27992140 is 4129972.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27992096 and 27992105.

It is not an unprimeable number, because it can be changed into a prime (27992147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103926 + ... + 104194.

It is an arithmetic number, because the mean of its divisors is an integer number (921690).

Almost surely, 2^27992140 is an apocalyptic number.

27992140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27992140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33180840).

27992140 is an abundant number, since it is smaller than the sum of its proper divisors (38369540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27992140 is a wasteful number, since it uses less digits than its factorization.

27992140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 27992140 is about 5290.7598698108. The cubic root of 27992140 is about 303.6304807316.

The spelling of 27992140 in words is "twenty-seven million, nine hundred ninety-two thousand, one hundred forty".